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Finding the Fourth Proportional to 2,807.39, 3,874.16 and 1,548.42

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Solution

The fourth proportional to 2,807.39, 3,874.16 and 1,548.42 is: 2,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.39 : 3,874.16 = 1,548.42 : x
  2. Step 2: Convert to fraction form
    2,807.39/3,874.16 = 1,548.42/x
  3. Step 3: Cross multiply
    2,807.39x = 3,874.16 × 1,548.42
  4. Step 4: Simplify right side
    2,807.39x = 5,998,826.83
  5. Step 5: Solve for x
    x = 5,998,826.83/2,807.39
  6. Step 6: Final answer
    x = 2,136.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.